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Finding the Third Proportional to 650,540,119.50 and 991,055,895.75

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Solution

The third proportional to 650,540,119.50 and 991,055,895.75 is: 1,509,809,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,540,119.50 : 991,055,895.75 = 991,055,895.75 : x
  2. Step 2: Convert to fraction form
    650,540,119.50/991,055,895.75 = 991,055,895.75/x
  3. Step 3: Cross multiply
    650,540,119.50x = 991,055,895.75 × 991,055,895.75
  4. Step 4: Simplify right side
    650,540,119.50x = 982,191,788,500,834,816
  5. Step 5: Solve for x
    x = 982,191,788,500,834,816/650,540,119.50
  6. Step 6: Final answer
    x = 1,509,809,708.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.